Strong Unique Continuation for the Navier-Stokes Equation with Non-Analytic Forcing

Mihaela Ignatova; Igor Kukavica

doi:10.1007/s10884-012-9282-1

Strong Unique Continuation for the Navier-Stokes Equation with Non-Analytic Forcing

Mihaela Ignatova, Igor Kukavica

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We establish the strong unique continuation property for differences of solutions to the Navier-Stokes system with Gevrey forcing. For this purpose, we provide Carleman-type inequalities with the same singular weight for the Laplacian and the heat operator.

Original language	English (US)
Pages (from-to)	1-15
Number of pages	15
Journal	Journal of Dynamics and Differential Equations
Volume	25
Issue number	1
DOIs	https://doi.org/10.1007/s10884-012-9282-1
State	Published - Mar 2013

All Science Journal Classification (ASJC) codes

Analysis

Keywords

Carleman estimates
Gevrey class
Navier-Stokes equation
Strong unique continuation

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10.1007/s10884-012-9282-1

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title = "Strong Unique Continuation for the Navier-Stokes Equation with Non-Analytic Forcing",

abstract = "We establish the strong unique continuation property for differences of solutions to the Navier-Stokes system with Gevrey forcing. For this purpose, we provide Carleman-type inequalities with the same singular weight for the Laplacian and the heat operator.",

keywords = "Carleman estimates, Gevrey class, Navier-Stokes equation, Strong unique continuation",

author = "Mihaela Ignatova and Igor Kukavica",

note = "Funding Information: Acknowledgments The authors thank referees for useful remarks and suggestions. MI was supported in part by the NSF Grant DMS-1009769 and the NSF FRG Grant DMS-11589, while IK was supported in part by the NSF Grant DMS-1009769.",

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language = "English (US)",

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T1 - Strong Unique Continuation for the Navier-Stokes Equation with Non-Analytic Forcing

AU - Ignatova, Mihaela

AU - Kukavica, Igor

N1 - Funding Information: Acknowledgments The authors thank referees for useful remarks and suggestions. MI was supported in part by the NSF Grant DMS-1009769 and the NSF FRG Grant DMS-11589, while IK was supported in part by the NSF Grant DMS-1009769.

PY - 2013/3

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N2 - We establish the strong unique continuation property for differences of solutions to the Navier-Stokes system with Gevrey forcing. For this purpose, we provide Carleman-type inequalities with the same singular weight for the Laplacian and the heat operator.

AB - We establish the strong unique continuation property for differences of solutions to the Navier-Stokes system with Gevrey forcing. For this purpose, we provide Carleman-type inequalities with the same singular weight for the Laplacian and the heat operator.

KW - Carleman estimates

KW - Gevrey class

KW - Navier-Stokes equation

KW - Strong unique continuation

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ER -

Strong Unique Continuation for the Navier-Stokes Equation with Non-Analytic Forcing

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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